106564079664 has 120 divisors (see below), whose sum is σ = 347791901600. Its totient is φ = 30446865792.

The previous prime is 106564079659. The next prime is 106564079669. The reversal of 106564079664 is 466970465601.

106564079664 is a `hidden beast` number, since 1 + 0 + 6 + 564 + 0 + 79 + 6 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (106564079659) and next prime (106564079669).

It is a super-2 number, since 2×106564079664² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106564079664.

It is not an unprimeable number, because it can be changed into a prime (106564079669) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1029367 + ... + 1128150.

Almost surely, 2^106564079664 is an apocalyptic number.

106564079664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106564079664 is an abundant number, since it is smaller than the sum of its proper divisors (241227821936).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106564079664 is a wasteful number, since it uses less digits than its factorization.

106564079664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2157552 (or 2157529 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 106564079664 in words is "one hundred six billion, five hundred sixty-four million, seventy-nine thousand, six hundred sixty-four".